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03 // Bidirectional STEM Calculators22 / 112 TOOLS SHOWN

PHYSICS — 03 // Bidirectional STEM Calculators

Solve any equation forward or backward—click any variable to make it the target with automatic SI unit conversions.

physicsV = I × R

Ohm's Law Voltage, Current & Resistance Calculator

Bidirectionally solve V = I × R for electrical potential difference (voltage), circuit current, or ohmic resistance.

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physicsP = V × I

Electrical Power (Watt's Law) Calculator

Solve P = V × I for electrical power in Watts, circuit voltage in Volts, or current draw in Amperes.

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physicsE_k = 0.5 × m × v²

Kinetic Energy, Mass & Velocity Calculator

Solve E_k = ½mv² for translational kinetic energy, moving mass, or required velocity.

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physicsU = m × g × h

Gravitational Potential Energy (U = mgh) Calculator

Solve U = m × g × h for gravitational potential energy, object mass, gravitational acceleration, or elevation height.

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physicsF = m × a

Newton's Second Law (F = ma) Force & Acceleration Solver

Solve F = m × a for net force in Newtons, inertial mass in kilograms, or linear acceleration in m/s².

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physicsF = (G × m₁ × m₂) / r²

Newton's Law of Universal Gravitation Calculator

Solve F = G × m₁ × m₂ / r² for gravitational attraction force, celestial masses, or orbital separation distance.

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physicsP × V = n × R × T

Ideal Gas Law (PV = nRT) Thermodynamic Solver

Solve PV = nRT for absolute gas pressure, container volume, molar quantity, or absolute temperature in Kelvin.

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physicsv = f × λ

Wave Speed, Frequency & Wavelength Calculator

Solve the universal wave equation v = f × λ for phase propagation velocity, wave frequency, or wavelength.

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physicsf_obs = f_src × (c / (c - v_src))

Doppler Effect Frequency Shift Calculator

Solve for observed Doppler-shifted frequency, emitted source frequency, source velocity, or observer velocity.

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physicsn₁ × sin(θ₁) = n₂ × sin(θ₂)

Snell's Law Optical Refraction Calculator

Solve n₁ sin(θ₁) = n₂ sin(θ₂) for angle of refraction, angle of incidence, or refractive indices of optical media.

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physicsF_c = (m × v²) / r

Centripetal Force & Circular Motion Calculator

Solve F_c = m × v² / r for radial centripetal force, rotating mass, tangential velocity, or turn radius.

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physicsF = k × x

Hooke's Law Spring Force & Stiffness Calculator

Solve Hooke's Law F = k × x for linear elastic restoring force, spring rate constant, or linear deflection.

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physicsp = m × v

Linear Momentum & Impulse Velocity Calculator

Solve p = m × v for translational momentum in kg·m/s, object mass, or velocity.

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physicsW = F × d × cos(θ)

Mechanical Work Done at an Angle Calculator

Solve W = F × d × cos(θ) for mechanical work in Joules, applied force, displacement distance, or force angle.

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physicsΔL = (α × 10⁻⁶) × L₀ × ΔT

Thermal Linear Expansion (ΔL = αL₀ΔT) Calculator

Solve ΔL = α × L₀ × ΔT for thermal length change, coefficient of thermal expansion, initial length, or temperature delta.

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physicsQ = (k × A × ΔT) / L

Fourier's Law Conductive Heat Transfer Calculator

Solve Q = (k × A × ΔT) / L for conductive heat transfer rate in Watts, thermal conductivity, surface area, temperature difference, or wall thickness.

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physicsΔt = Δt₀ / √(1 - β²)

Special Relativity Time Dilation Calculator

Solve Einstein's Lorentz time dilation Δt = Δt₀ / √(1 - β²) for dilated observer time, proper rest time, or fraction of light speed β = v/c.

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physicsv_e = √((2 × G × M) / R)

Planetary Escape Velocity Calculator

Solve v_e = √(2GM / R) for planetary escape speed, celestial body mass, or starting orbital radius.

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physicsP = ε × σ × A × T⁴

Stefan-Boltzmann Thermal Radiation Calculator

Solve P = ε × σ × A × T⁴ for radiative thermal power, surface emissivity, radiating area, or absolute temperature in Kelvin.

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physicsF = (k_e × q₁ × q₂) / r²

Coulomb's Law Electrostatic Force Calculator

Solve F = k_e × q₁ × q₂ / r² for electrostatic force between point charges, charge magnitudes in microcoulombs, or separation distance.

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physicsE (eV) = 4.1356677 × 10⁻¹⁵ × f (Hz)

Planck-Einstein Photon Energy Calculator

Solve E = h × f for photon energy in electron-volts (eV), electromagnetic wave frequency in THz, or Planck constant scaling.

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physicsN = N₀ × (0.5)^(t / t_½)

Radioactive Half-Life Exponential Decay Calculator

Solve N(t) = N₀ × (0.5)^(t / t_½) for remaining quantity, initial sample quantity, elapsed time, or isotope half-life.

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